Entropic upper bound on gravitational binding energy

• Autores: Vignat, C.; Plastino, Ángel Luis; Plastino, Ángel Ricardo
• Año de publicación: 2011
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: ENTROPIC BOUND TO BINDING ENERGY; GRAVITATION; TSALLIS' STATISTICS
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

We prove that the gravitational binding energy Ω of a self gravitating system described by a mass density distribution ρ(x) admits an upper bound B[ρ(x)] given by a simple function of an appropriate, non-additive Tsallis' power-law entropic functional Sq evaluated on the density ρ. The density distributions that saturate the entropic bound have the form of isotropic q-Gaussian distributions. These maximizer distributions correspond to the Plummer density profile, well-known in astrophysics. A heuristic scaling argument is advanced suggesting that the entropic bound B[ρ(x)] is unique, in the sense that it is unlikely that exhaustive entropic upper bounds not based on the alluded Sq entropic measure exit. The present findings provide a new link between the physics of self gravitating systems, on one hand, and the statistical formalism associated with non-additive, power-law entropic measures, on the other hand. © 2011 Elsevier B.V. All rights reserved.
Fil: Vignat, C.. Université d’Orsay; Francia
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Universidad de Granada; España. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina